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Finding the Fourth Proportional to 632.22, 872.55 and 445.38

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Solution

The fourth proportional to 632.22, 872.55 and 445.38 is: 614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.22 : 872.55 = 445.38 : x
  2. Step 2: Convert to fraction form
    632.22/872.55 = 445.38/x
  3. Step 3: Cross multiply
    632.22x = 872.55 × 445.38
  4. Step 4: Simplify right side
    632.22x = 388,616.32
  5. Step 5: Solve for x
    x = 388,616.32/632.22
  6. Step 6: Final answer
    x = 614.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.